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a wire 36 meter long is cut into two pieces. each piece is bent to form a rectangle which is 1 cm longer than its width. How long should each piece be to minimize the sum of the areas of the two rectangle?

  • math -

    width of each rectangle = x
    length of each rectangle = x+1

    sum of area = 2x(x+1) = 2x^2 + 2x
    d(area)/dx = 4x + 2
    = 0 for a max/min

    4x + 2 = 0
    4x = -2
    x = -1/2

    also 2(2x + 2(x+1)) = 36
    4x + 4x + 4 = 36
    8x=32
    x=4

    Question makes no sense, check your typing or the wording of the question.

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